Constructive methods for averaging-based control

An efficient method for stability of systems with rapidly oscillating coefficients is averaging: the system is stable for small enough values of the parameter provided the averaged system is stable.

All the existing methods for averaging are qualitative without giving quantitative bounds on the small parameter. In this talk I will present new constructive approaches to averaging that are based on time-delay and delay-free transformations and special model presentations. 

The results will be applied to stabilization of unstable systems by fast switching, power systems and Brocket problem (static output-feedback by using time-varying gains) and to extremum seeking (a powerful real-time optimization method without requesting a knowledge of system model). 

These are joint results with my recent post-docs Yang Zhu (Zhejiang University), Jin Zhang (Shanghai University) and Xuefei Yang (Harbin Institute of Technology) and former PhD student Rami Katz (Trento University).

SHORT BIO:

Emilia Fridman received the M.Sc and Ph.D in mathematics in Russia. Since 1993 she has been at Tel Aviv University, where she is currently Professor in the Department of Electrical Engineering - Systems. She has held numerous visiting positions in Europe, China and Australia. Her research interests include time-delay systems, networked control systems, distributed parameter systems, robust control and extremum seeking. She has published more than 200 journal articles and 2 monographs. 

In 2021 she was recipient of IFAC Delay Systems Life Time Achievement Award and of Kadar Award for outstanding research in Tel Aviv University. In 2023 her monograph ``Introduction to Time-Delay Systems: Analysis and Control" (Birkhauser, 2014) was the winner of IFAC Harold Chestnut Control Engineering Textbook Prize.